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Finding the Fourth Proportional to 9,972, 14,920.38 and 5,954.49

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Solution

The fourth proportional to 9,972, 14,920.38 and 5,954.49 is: 8,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 14,920.38 = 5,954.49 : x
  2. Step 2: Convert to fraction form
    9,972/14,920.38 = 5,954.49/x
  3. Step 3: Cross multiply
    9,972x = 14,920.38 × 5,954.49
  4. Step 4: Simplify right side
    9,972x = 88,843,253.51
  5. Step 5: Solve for x
    x = 88,843,253.51/9,972
  6. Step 6: Final answer
    x = 8,909.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.